Greatest Common Factor of 8/48, 56/60, 32/247, 338/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/48, 56/60, 32/247, 338/299

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8/48,56/60,32/247,338/299

Given fractions are 8/48,56/60,32/247,338/299

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8,56,32,338

Greatest Common Factor of Numerators i.e. GCF of 8,56,32,338 is 2 .

LCM of Denominators means LCM of 48,60,247,299 as per the given fractions.

LCM of 48,60,247,299 is 1363440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,56,32,338

GCF of Fractions 8/48,56/60,32/247,338/299 is 2/1363440

2 8, 56, 32, 338
4, 28, 16, 169

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8,56,32,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,56,32,338 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 8,56,32,338 . The biggest common factor number is the GCF number.
So the greatest common factor 8,56,32,338 is 2.

Lets's calculate LCM of 48,60,247,299

2 48, 60, 247, 299
2 24, 30, 247, 299
3 12, 15, 247, 299
13 4, 5, 247, 299
4, 5, 19, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 4 x 5 x 19 x 23 = 1363440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1363440

Therefore, the GCF of Fractions 8/48,56/60,32/247,338/299 is 2/1363440

Least Common Multiple of 48,60,247,299 with GCF Formula

Least Common Multiple of 48,60,247,299 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,60,247,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,60,247,299) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(48,60,247,299) x common factors =1 x 156 = 156

LCM(48,60,247,299) = ( 48 × 60 × 247 × 299 ) / 156

LCM(48,60,247,299) = 212696640 / 156

LCM(48,60,247,299) = 1363440


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8/48, 56/60, 32/247, 338/299

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8/48, 56/60, 32/247, 338/299?

Answer: GCF of Numerators as per given numbers 8/48, 56/60, 32/247, 338/299 is

GCF of Numerators i.e. for 8,56,32,338 is 2

LCM of denominators i.e. for 48,60,247,299 is 1363440.

Thus, GCF of Fractions is 2/1363440.Finally, GCF of Fractions for 8/48, 56/60, 32/247, 338/299 is 2/1363440.